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Finding the Third Proportional to 184,295.25 and 403,218

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Solution

The third proportional to 184,295.25 and 403,218 is: 882,197.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,295.25 : 403,218 = 403,218 : x
  2. Step 2: Convert to fraction form
    184,295.25/403,218 = 403,218/x
  3. Step 3: Cross multiply
    184,295.25x = 403,218 × 403,218
  4. Step 4: Simplify right side
    184,295.25x = 162,584,755,524
  5. Step 5: Solve for x
    x = 162,584,755,524/184,295.25
  6. Step 6: Final answer
    x = 882,197.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.